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A can do a certain work in 12 days. B is 60% more efficient than A. How many days will B and A together take to do the same job?
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80 days 13 -
70 days 13 -
75 days 13 -
60 days 13
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Correct Option: D
Time taken by B in completing the work
| = 12 × | = | days | ||
| 160 | 2 |
∴ (A+B)’s 1 day’s work
| + | = | = | ||||||
| 12 | 15 | 60 | 60 |
Hence, the work will be completed in
| days | 13 |
Aliter : Using Rule 17,
Here, x = 12, R = 60%
Time taken by B
| = x × | days | 100 + R |
| = 12 × | days | 160 |
| = | days | 2 |
Now using Rule 2,
Time taken by A and B
| = | x + y |
| = | 12 × | |
| 2 | ||
| 12 × | ||
| 2 | ||
| = | = | days | ||
| 39 | 13 |